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in Geometry by (65.5k points)

Give the order of rotational symmetry for each figure :

(a)

(b)

(c)

(d) 

(e) 

(f)

(g) 

(h) 

1 Answer

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(a) This object while rotating at two positions 180° and 360° it looks exactly the same. Therefore it has a rotational symmetry of order 2.

fig a has order 2

(b) This object in full turn, these are two positions 180° and 360° it looks exactly the same. Therefore it has a rotational symmetry of order 2.

fig b has order 2

(c)  This object while rotating there are three positions 120° and 240° and 360° the object looks exactly the same. Therefore it has a rotational symmetry of order 3. fig c has order 3

(d)  In full turn this object will rotate and three are four positions such as 90°, 180° 270° and 360° the figure looks exactly the same. Therefore it has a rotational symmetry of order 4.

(e)  In a full turn this object will rotate and there are four positions such as 90°, 180° 270° and 360°, the figure looks exactly the same. Therefore it has a rotational symmetry of order 4.

fig e has order 4

(f) The figure is a regular pentagon. In a full turn are five positions at 72°, 144°, 216°, 288°, and 360° the figure looks exactly the same. Therefore it has a rotational symmetry of order 5.

fig f has order 5

(g) In a full turn there are 6 positions. i.e., 60°, 120°, 180°, 240°, 300° and 360° the figure looks exactly the same. Therefore it has a rotational symmetry of order 6.

fig g has order 6

(h) This figure while rotating there are 3 positions the figure looks exactly the same at 120°, 240° and 360°. Therefore it has a rotational symmetry of order 3.

fig h has order 3

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